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研究生: 林坤泉
Lin, Quentinlin
論文名稱: 靜音鏈條傳動誤差之探討
An Investigation of Transmission Errors in Silent Chains
指導教授: 黃金沺
Huang, Chintien
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 143
中文關鍵詞: 靜音鏈傳動誤差
外文關鍵詞: silent chain, transmission error
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  • 摘要
      靜音鏈條經常使用於動力傳輸及正時系統,常見於汽車、機車、船舶等交通工具的引擎內部。相較於滾子鏈,靜音鏈具有效率高、噪音低、振動小、精確度高、能承受高速運轉及高負載等優點。雖然工業界經常使用靜音鏈,但其相關研究卻很少見,研究開發新產品仍多依賴實體測試或電腦軟體模擬,缺乏相關理論依據。

      一般常見的靜音鏈條分為搖動銷靜音鏈及圓柱銷靜音鏈兩種,本文針對兩種靜音鏈條,分析主、從動輪與緊邊鏈條的運動並探討其傳動誤差。本文主要根據嚙合曲面理論進行靜音鏈的運動分析,搭配幾何拘束和力量平衡限制條件,並設定所分析物體皆為剛體且無公差之影響。

      本文的運動分析包括了鏈片由從動輪離開成為緊邊鏈條,再由緊邊鏈條固定於主動輪上的所有運動情形。文中提出由弦線作用造成之緊邊鏈條傾斜角觀念,建立一套適用於搖動銷及圓柱銷兩種靜音鏈的分析方法。

      本文並探討鏈片及鏈輪尺寸對運動模式造成的影響,發現鏈片與鏈輪同時嚙合的數目將隨著鏈片內緣半徑的長度而增加,以及靜音鏈片內緣半徑設計上的限制。本文考慮了從動輪部分提出有系統的靜音鏈運動分析方法,並計算出主、從動輪傳遞誤差,研究結果可提供為設計靜音鏈之參考。

    Abstract
     Silent chains are usually used in automobiles, motorcycles and boats as parts of engines in timing systems or power transmission systems. Silent chains perform better than roller chains in efficiency, reducing noise and vibrations, and increasing accuracy and reliability. However, research reports on silent chains in literature are limited even thought silent chain are now widely used popularly in industry. New products are often designed by experiments or trial and error.

     Two of the most popular silent chains are rocker-pin jointed silent chains and round pin jointed silent chains. This thesis analysis motions and transmission errors of the two silent chains by considering both the driving and driven sprockets. Analysis conducted in this thesis is based on theory of tooth contact analysis、force equilibrium and geometric constraints. This thesis assumes that all objects are rigid bodies and have no tolerance.

     The motion analysis includes the link plates approaching the driving sprocket and those leaving driven sprocket. The concept of incline angle of a tight span was introduced and a systematized method for analyzing the round pin and rocker-pin jointed silent chains is established in the thesis.

     Additionally, the relation between the conjugate mode and the size of a link plate is also investigated. It shows that the number of contacting link plates increase if the radii of the inner flank of a link plate increases. This thesis purposes a systematic approach for analyzing the motion of silent chains and computing the transmission errors by considering both the driven sprockets. The results can be used as guidelines in designing silent chains.

    目錄 頁次 中文摘要 I 英文摘要 II 誌謝 III 目錄 IV 圖目錄 VII 符號說明 XII 第一章 緒論 1.1 前言 1 1.2 文獻回顧 2 1.3 研究動機與目錄 3 1.4 本文架構 3 第二章 基礎概念 2.1 靜音鏈的簡介 5 2.1.1 靜音鏈和滾子鏈 5 2.1.2 靜音鏈的構造 5 2.2 嚙合原理 8 2.2.1 漸開線齒型 8 2.2.2 共軛曲線 10 2.2.3 齒面接觸分析 10 2.3 目前已發展之搖動銷靜音鏈分析方法 12 2.3.1 靜音鏈僅考慮主動輪時的假設 12 2.3.2 最多單鏈目嚙合 17 2.3.3 最多雙鏈目嚙合 19 2.4 目前已發展之圓柱銷靜音鏈分析方法 22 2.4.1 最多單鏈目嚙合 23 2.4.2 最多雙鏈目嚙合 25 第三章 搖動銷靜音鏈傳動誤差分析 3.1 主、從動輪與緊邊鏈條的基本分析 29 3.1.1 緊邊鏈條的傾斜角與鏈輪轉動角的關係 30 3.1.2 從動輪的運動模型 32 3.2 傳動誤差分析 34 3.2.1 分析單邊運動-主動輪部分 34 3.2.2 分析單邊運動-從動輪部分 37 3.2.3 初始狀態 40 3.2.4 週期內的所有狀態 53 3.2.5 主動輪單鏈目嚙合期與從動輪雙鏈目嚙合期初期 54 3.2.6 主動輪緊邊期與從動輪雙鏈目嚙合期末期 60 3.2.7 主動輪單鏈目嚙合期初期與從動輪單鏈目嚙合期 64 3.2.8 主動輪單鏈目嚙合期與從動輪單鏈目嚙合期末期 68 3.3 主、從動輪間的傳動誤差結果 74 第四章 圓柱銷靜音鏈傳動誤差分析 4.1 主、從動輪與緊邊鏈條的基本分析 79 4.2 傳動誤差分析 80 4.2.1 分析單邊運動-主動輪部分 81 4.2.2 分析單邊運動-從動輪部分 84 4.2.3 初始狀態 87 4.2.4 週期內的所有狀態 99 4.2.5 主動輪單鏈目嚙合期末期與從動輪雙鏈目嚙合期 100 4.2.6 主動輪單鏈目嚙合期末期與從動輪鏈目嚙合期 105 4.2.7 主動輪緊邊期與從動輪單鏈目嚙合期末期 108 4.2.8 主動輪單鏈目嚙合期初期與從動輪雙鏈目嚙合期 113 4.2.9 主動輪單鏈目嚙合期與從動輪雙鏈目嚙合期末期 118 4.3 主、從動輪間的傳動誤差結果 124 第五章 結論與未來展望 129 附錄 由鏈條尺寸判別運動模式 131 參考文獻 142

    參考文獻
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